Question

Janet wants to order a pizza for delivery to her home. Fast Delivery charges $15 per large pizza plus $2 for delivery. Order for Home charges $12 per large pizza plus $8 for delivery.

For how many pizzas is the cost the same?
Which equation represents the problem, where p is the number of large pizzas?

A. 15p+2 = 12p + 8
B. 15p+8 = 12p + 2
C. 15+2p= 12 + 8p
D. 15+ 8p = 12 + 2p​

Answer 1

The equation that represents the problem is D. 15+ 8p = 12 + 2p.

You can solve the equation to find out at which point the cost is the same by isolating the variable (p) on one side of the equation.

You can do that by subtracting 12 from both sides, and then subtracting 8p from both sides.

It will give you : 3 = 2p which means p = 1.5.

So, for 1.5 large pizzas the cost of ordering from Fast Delivery and Order for Home will be the same.

Answer 2

A. 15p+2 = 12p + 8 represents the problem, where p is the number of large pizzas.

To find the number of pizzas for which the cost is the same, you need to set the two expressions equal to each other and solve for p.

15p + 2 = 12p + 8

3p = 6

p = 2

So, the cost is the same when two large pizzas are ordered